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DTSTART:20180325T030000
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DTSTAMP:20180624T091725Z
UID:5a6f05a1848b3014288843@ist.ac.at
DTSTART:20180313T110000
DTEND:20180313T120000
DESCRIPTION:Speaker: Andras Juhasz\nhosted by Tamas Hausel\nAbstract: An n-
manifold is a topological space that locally looks like n-dimensional coor
dinate space. Surprisingly\, the most difficult dimensions to understand a
re 3 and 4. Low-dimensional topology is an important area of mathematics t
hat studies manifolds in exactly these dimensions. Knots play a central r
ole in low-dimensional topology as they can be used to construct all 3- an
d 4-manifolds\, and they also appear in physics\, biology\, and chemistry.
Knot Floer homology is a powerful\, computable\, and geometrically rich
invariant of knots defined by Ozsvath-Szabo and Rasmussen in 2002. Some of
its properties are best understood via sutured Floer homology\, a general
ization to 3-manifolds with boundary that I developed. It is a fundamental
question of low-dimensional topology to understand the surfaces a knot ca
n bound in the 4-ball. In this talk\, I will explain how a knot cobordism
(a surface in 4-space connecting two knots) induces a functorial map on k
not Floer homology via sutured Floer homology\, and discuss some properti
es and applications.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:pdelreal@ist.ac.at
SUMMARY:Cobordism maps in knot Floer homology
URL:https://talks-calendar.app.ist.ac.at/events/1085
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